Note: Each question carries 10 Marks. Answer all the questions. Q.1 Explain project management (PERT) & Project scheduling of PERT. Q.2 Write a short note on Monte-Carlo simulation? What are the Limitations of using Simulation?

i) Solve the game. ii) Write down the pay-off matrix of B and then, solve the game. Q.4 A marketing manager has 5 salesmen and 5 sales districts. Considering the capabilities of the salesman and the nature of districts, the marketing manager estimates that the sales per month (in hundred rupees) for each salesman in each district would be as follows. Sales districts

Sale s distr icts A 1 2 3 4 5

B

C

D

E

32 40 41 22 29

38 24 27 38 33

40 28 33 41 40

28 21 30 36 35

40 36 37 36 39

Find the assignment of salesman to districts that will result in maximum sales. Q.5 Define PERT & CPM. Write down the basic difference between PERT and CPM. Q.6 Explain Linear programming problem by giving two examples & write any 3 applications of Linear Programming problem